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3 years ago

If you flip a coin four times what is the probability of flipping tails four times

1 answer:

5 0

There are 16 possible outcomes.
Out of all 16 outcomes, there is only one way to get the result T T T T.
Therefore, the probability is 1/16 or 0.0625

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a ball is dropped from a height of 20 feet above the ground. The velocity v(s) of the ball after it has travelled a distance of

Lana71 [14]

The initial height is 20 feet above the ground.

The function to model the velocity is

$v(s)=60s$

Where s represents the distance in feet.

Mathematically, this function has all real numbers as a domain. However, that will no make sense for this situation, because it would use negative numbers for the distance s which does not make sense.

Therefore, the domain, in this case, would be all real numbers greater than or equal to zero, but less than or equal to 20.

The reason for this domain is that the ball will go from 20 feet above the ground to zero feet on the ground.

Using interval notation would be

$D\colon\lbrack0,20\rbrack$

4 0

1 year ago

Maria is saving money to buy a bike. She has $42 and is going to save an additional $ 7 each week. The bike costs $133. In how m

Lostsunrise [7]

Answer:

Maria will have enough money to buy the bike in 13 weeks.

Step-by-step explanation:

w = weeks

42 + 7w = 133

take away 42 frim each side

7w = 91

divide each side by 7

w = 13

5 0

3 years ago

Name the types of angles shown.

PIT_PIT [208]

< ABC is a straight angle
no right angles
no complimentary angles
< ABD and < DBC are supplementary angles

7 0

3 years ago

Read 2 more answers

A company makes concrete paving stones in different sizes. Each stone has a volume of 30 cubic inches and a height of 3 inches.

Zepler [3.9K]

Answer:

There are 5 different sized paving stones that can have a volume of 360 in³.

Step-by-step explanation:

Volume = Area x height.

We are given;

volume; V = 360 in³

Height; h = 3 in

Thus, 360 = A x 3

A = 360/3 = 120 in²

This is the area of the base, so we need to find the number of different stones which have a base area of 120 in².

Let's list all the factors of 120 which are;

1,2,3,4,5,6,10,12,20,24,30,40,60,120

The question says we shouldn't use 1 or 2 in inches as length and width.

Leaving us with the remaining listed factors.

So the pair of factors that give and area of 120 are;

Size;

3 x 40

4 x 30

5 x 24

6 x 20

10 x 12

Thus, there are 5 different sized paving stones that can have a volume of 360.

5 0

3 years ago

A new bridge structure requires triangles that are in a ratio of 1:1. If AC = 2x + 10 and EC = 4x − 18, find the distance betwee

Serjik [45]

Distance between the top and bottom of the bridge is 76 feet

Solution:

The image of the question is attached below.

Ratio of the triangles is 1 : 1.

AC = 2x + 10 and EC = 4x − 18.

Since the two triangles ACB and DCE are in the ratio 1 : 1, so their corresponding sides are also in the ratio 1 : 1.

Therefore sides AC and EC are corresponding to each other.

AC : EC = 1 : 1

$$\Rightarrow \frac{A C}{E C}=\frac{1}{1}$

$\Rightarrow A C=E C$

$\Rightarrow 2 x+10=4 x-18$

Subtract 10 from both sides of the equation.

$\Rightarrow 2 x=4 x-28$

Subtract 4x from both sides of the equation.

$\Rightarrow -2 x=-28$

Divide by -2 on both sides, we get

⇒ x = 14

Distance between the top and bottom of the bridge is EA.

EA = AC + EC

= 2x + 10 + 4x - 18

= 6x - 8

= 6(14) - 8

= 84 - 8

EA = 76 feet

Distance between the top and bottom of the bridge is 76 feet.

3 0

3 years ago